1. The problem is to understand the concept of common division, which typically refers to division where the divisor is a common factor or a shared number. 2. Division is the process of splitting a number into equal parts. For example, dividing 12 by 3 means splitting 12 into 3 equal parts. 3. In common division, we often look for the greatest common divisor (GCD) to simplify fractions or divide numbers evenly. 4. For example, to divide 24 and 36 by their common divisor, first find the GCD of 24 and 36. 5. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. 6. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. 7. The common factors are 1, 2, 3, 4, 6, 12. 8. The greatest common divisor is 12. 9. Dividing both 24 and 36 by 12 gives $\frac{24}{12} = 2$ and $\frac{36}{12} = 3$. 10. This shows how common division helps simplify numbers or fractions by dividing by their greatest common divisor. Final answer: The greatest common divisor (common division) of 24 and 36 is 12, and dividing both by 12 simplifies them to 2 and 3 respectively.